Answer:
Option D is correct.
Step-by-step explanation:
Given : function f(x) = [tex]\frac{2x}{7}+4[/tex]
We have to find inverse function of f(x)
Le, y be any arbitrary image of f(x).
So, y = f(x)
[tex]y=\frac{2x}{7}+4[/tex]
[tex]y-4=\frac{2x}{7}[/tex]
[tex]7\times(y-4)=2x[/tex]
[tex]x=\frac{7(y-4)}{2}[/tex]
So, Inverse of f(x) is [tex]f^{-1}(x)=\frac{7(x-4)}{2}[/tex]
Therefore, Option D is correct.
